1. Upper quasi continuous maps and quasi continuous selections
- Creator:
- Matejdes, Milan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- selection, quasi continuity, minimal usco multifunction, cluster point, and generalized quasi continuity
- Language:
- English
- Description:
- The paper deals with the existence of a quasi continuous selection of a multifunction for which upper inverse image of any open set with compact complement contains a set of the form $(G\setminus I)\cup J$, where $G$ is open and $I$, $J$ are from a given ideal. The methods are based on the properties of a minimal multifunction which is generated by a cluster process with respect to a system of subsets of the form $(G\setminus I)\cup J$.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public